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If you place the positive integers together and read each set of two adjacent digits at the same time, you get: (A136414)
12, 23, 34, 45, 56, 67, 78, 89, 91, 10, 1, 11, ...
However, if you squash that sequence again:
12, 22, 23, 33, 34, 44, 45, 55, 56, 66, 67, 77, 78, 88, 89, 99, 91, 11, 10, 1, ...